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Algebra 1

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Equation Word Problems (Money)

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Equation Word Problems (Money) 1

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Question 1 of 3

Greg earns

$ 20

$$20$ per hour for the first

3

$3$ hours and

$ 15

$$15$ per hour after that. How many hours should he work to earn

$ 135

$$135$ ?

(8) hours

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 2 of 3

A set of

$4$ new tires and a

$$90$ -wheel alignment costs

$$898$ in total. How much does each tire cost?

$$$ (202)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$
sum, and, plus, more than	$+$
subtracted, less, minus	$-$
times, product, multiplied, twice	$times$
half of, divide by	$divide$

Question 3 of 3

A hire car costs

$$95$ per day plus

$80¢$ per kilometre it is driven. If the total cost of hiring the car was

$$175$ , how many kilometres was it driven?

(100) kilometres

$$ 20$ $$20$ per hour for $3$ $3$ hours	and	$$ 15$ $$15$ per hour for the extra hours	should make	$$ 135$ $$135$
$3 (20)$ $3(20)$	$+$ $+$	$15 h$ $15h$	$=$ $=$	$135$ $135$

$3 (20) + 15 h$ $3(20)+15h$	$=$ $=$	$135$ $135$
$60 + 15 h$ $60+15h$	$=$ $=$	$135$ $135$

$60 + 15$ $60+15$ $h$ $h$	$=$ $=$	$135$ $135$
$60 + 15$ $60+15$ $h$ $-60$	$=$	$135$ $-60$
$15$ $h$	$=$	$75$	$60-60$ cancels out

$15$ $h$	$=$	$75$
$15$ $h$ $divide15$	$=$	$75$ $divide15$
$h$	$=$	$5$	$15divide15$ cancels out

Total hours needed	$=$	$3+$ $h$
	$=$	$3+$ $5$
	$=$	$5$

Equation Word Problems (Money) 1

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Quiz summary

Information

1. Question

Hint

Exceptional!

Inverse Operations

2. Question

Hint

Fantastic!

Inverse Operations

3. Question

Hint

Good Job!

Inverse Operations

Quizzes

$4$ tires	and	a $$90$ -wheel alignment	costs	$$898$
$4t$	$+$	$90$	$=$	$898$

$4$ $t$ $+90$	$=$	$898$
$4$ $t$ $+90$ $-90$	$=$	$898$ $-90$
$4$ $t$	$=$	$808$	$90-90$ cancels out

$4$ $t$	$=$	$808$
$4$ $t$ $divide4$	$=$	$808$ $divide4$
$t$	$=$	$$202$	$4divide4$ cancels out

Cost of each kilometre the car is driven	$=$	$80¢$
	$=$	$80¢divide100¢$
	$=$	$$0.8$

A hire car costs $$95$ per day	plus	$80¢$ per kilometre.	The total cost of hiring the car was	$$175$
$95$	$+$	$0.8x$	$=$	$175$

$95+0.8$ $x$	$=$	$175$
$95+0.8$ $x$ $-95$	$=$	$175$ $-95$
$0.8$ $x$	$=$	$80$	$95-95$ cancels out

$0.8$ $x$	$=$	$80$
$0.8$ $x$ $divide0.8$	$=$	$80$ $divide0.8$
$x$	$=$	$100$	$0.8divide0.8$ cancels out